You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 15 containers. Estimate the population standard deviation at a 95% level of confidence.
12.02, 12.17, 11.99, 12.01, 11.97, 12.09, 12.02, 12.03, 12.07, 12.12, 11.79, 12.07, 12.02, 11.99, 12.02
(Data checksum: 180.38)
Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer.
a) Find the sample standard deviation:
b) Find the lower and upper χ2 critical values at 95% confidence: Lower: Upper:
c) Report your confidence interval for σ σ : ( , )
You work for a soft-drink company in the quality control division. You are interested in the...
Quality Associates, Inc., a consulting firm, advises its clients
about sampling and statistical procedures that can be used to
control their manufacturing processes. In one particular
application, a client gave Quality Associates a sample of 800
observations taken during a time in which that client’s process was
operating satisfactorily. The sample standard deviation for these
data was .21; hence, with so much data, the population standard
deviation was assumed to be .21. Quality Associates then suggested
that random samples of...
The production manager at Sunny Soda, Inc. is interested in tracking the quality of the company’s 12-ounce bottle filling line. The bottles must be filled within the tolerances set for this product because the dietary information on the label shows 12 ounces as the serving size. The design standard for the product calls for a fill level of 12.00 ± 0.10 ounces (11.90 to 12.10 ounces). The manager collected the following sample data (in fluid ounces per bottle) on the...
Quality Associates, Inc., a consulting firm, advises its clients about sampling and statistical procedures that can be used to control their manufacturingprocesses. IN one particular application, a client game quality associates a sample of 800 observations taken during a time in which that client's process wasoperating satisfactorily. The sample standard deviation for there data was .21 ; hence, with so much data, the population standard deviation was assumed to be .21.Quality associates then suggested that random samples of size 30...
. The production manager at Sunny Soda, Inc., is interested in tracking the quality of the company's 12-ounce bottle filling line. The bottles must be filled within the tolerances set for this product because the dietary information on th label shows 12 ounces as the serving size. The design standard for the product calls for a fill level of 12 0.10 ounces. The manager collected the accompanying sample data n fluid ounces per bottle) on the production process. 1 Click...
Sample 1|Sample 2 Sample 3 Sample 4 11.91 11.55 11.62 11.62 11.69 11.52 11.59 11.75 11.82 1.90 11.97 11.64 11.80 11.87 12.03 11.94 12.01 11.92 11.99 12.13 12.09 12.16 11.93 12.21 12.32 12.39 11.93 11.85 11.92 11.7611.83 11.7012.38 11.77 11 12.00 12.07 12.04 11.98 12.05 12.30 12.37 12.18 12.25 11.97 12.17 12.24 11.85 11.92 12.30 12.37 12.15 12.22 12.02 11.36 12.02 11.75 12.05 11.95 12.18 12.14 11.72 12.07 12.05 11.85 11.64 12.16 12.39 11.65 12.11 11.90 12.22 11.56 11.88 11.95...